105189192 has 80 divisors (see below), whose sum is σ = 296208000. Its totient is φ = 34875360.

The previous prime is 105189191. The next prime is 105189199. The reversal of 105189192 is 291981501.

It is a super-2 number, since 2×105189192² = 22129532227225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105189191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175309 + ... + 175907.

It is an arithmetic number, because the mean of its divisors is an integer number (3702600).

Almost surely, 2^105189192 is an apocalyptic number.

105189192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105189192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148104000).

105189192 is an abundant number, since it is smaller than the sum of its proper divisors (191018808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105189192 is a wasteful number, since it uses less digits than its factorization.

105189192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 105189192 is about 10256.1782355807. The cubic root of 105189192 is about 472.0525772131.

The spelling of 105189192 in words is "one hundred five million, one hundred eighty-nine thousand, one hundred ninety-two".